Regression Models — Unit test Answers

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Which graph shows a negative correlation?

A
A graph with both axes unnumbered. Points show a steady trend.
Option A
B
A graph with both axes unnumbered. Points are scattered loosely in the top half of the graph.
Option B
C
A graph with both axes unnumbered. Points show a downward trend.
Option C
D
A graph with both axes unnumbered. Points are scattered loosely all Over graph.
Option D
2
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The resting heart rates for 80 women aged 46–55 in a simple random sample are normally distributed, with a mean of 71 beats per minute and a standard deviation of 6 beats per minute. Assuming a 90% confidence level (90% confidence level = z-score of 1.645), what is the margin of error for the population mean?Remember, the margin of error, ME, can be determined using the formula .

Question illustration
A
0.66
B
1.10
C
1.31
D
1.73
3

The dot plot shows the number of words students spelled correctly on a pre-test.

Question illustration
A
The graph is skewed right.
B
The graph is nearly symmetrical.
C
The graph is skewed left.
D
The graph is perfectly symmetrical.
4

Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about acceleration due to gravity. The program reports =31.5 and .What is the variance of the data? Round to the nearest tenth.

Question illustration
A
1.6
B
2.5
C
5.6
D
6.3
5

Which best describes a random sample?

A
a sample in which the elements are chosen by chance
B
a sample in which the chosen elements are predetermined
C
a sample in which each element of the population is chosen
D
a sample in which the chosen elements are removed from the population once they are chosen
6

A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8

A
0.40
B
0.72
C
1.15
D
2.14
7

The dot plot represents the amount of rain recorded by rain gauges in different locations around a city.

Question illustration
A
2
B
8
C
11
D
16
8

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

Question illustration
A
y = 47(1.191)x
B
y = 34(1.204)x
C
y = 26.9x – 1.3
D
y = 27x – 4
9

Georgianna wants to use the linear model associated with the data in the table to make a prediction.

Question illustration
A
0 to 5 minutes
B
0 to 18 minutes
C
0 to 30 minutes
D
18 to 30 minutes
10

When making a statistical inference about the mean of a normally distributed population based on a sample drawn from that population, which of the following statements is correct, all else being equal?

A
The 68% confidence interval is wider than the 90% confidence interval.
B
The 90% confidence interval is narrower than the 95% confidence interval.
C
The 90% confidence interval is wider than the 99% confidence interval.
D
The 99% confidence interval is narrower than the 68% confidence interval.
11

A random sample of people is chosen to participate in a survey. For the survey results to be considered valid, which must be true of the random sample?

A
The sample must be the same size as the population.
B
The sample must represent the target population.
C
The sample must be biased.
D
The sample must be a group separate from the population.
12

The residents of three towns were polled to find the percentage of residents who take a vacation in the summer or in the winter. Which is the joint relative frequency of those in Town 2 who take a summer vacation? Round the answer to the nearest percent.

Question illustration
A
7%
B
10%
C
25%
D
75%
13

Which values are correct? Select three options.

A
a = 15
B
b = 18
C
c = 23
D
d = 35
E
e = 31
14

Which phrases describe the relationship between heart rate and daily intake of caffeine? Select two options.

A
negative correlation
B
increasing heart rate
C
constant correlation
D
positive correlation
E
decreasing heart rate
15

The graph shows the distribution of hand lengths, in centimeters, of the members of an orchestra.

Question illustration
A
1
B
2
C
4
D
5
16

Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data.How does the word count of an essay relate to its score in the contest?

Question illustration
A
Word count tends to decrease as the score decreases.
B
Word count tends to increase as the score decreases.
C
Word count tends to remain constant as the score decreases.
D
Word count has no apparent relationship to the score of the essay.
17

Violet creates two spinners for a game. Each spinner is spun once, and the sum is recorded. The table represents the sums of the spinners and the frequency of each sum.

Question illustration
A
The mean is 12.
B
The mean is 16.
C
The mean is the same as the median.
D
The mean is the same as the range.
18

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19

A simple random sample of size n is drawn from a normally distributed population, and the mean of the sample is , while the standard deviation is s. What is the 99% confidence interval for the population mean? Use the table below to help you answer the question.Confidence Level90%95%99%z*-score1.6451.962.58

Question illustration
A
x Overbar plus-or-minus StartFraction 0.90 times s Over StartRoot n EndRoot EndFraction
Option A
B
x Overbar plus-or-minus StartFraction 0.99 times s Over StartRoot n EndRoot EndFraction
Option B
C
x Overbar plus-or-minus StartFraction 1.645 times s Over StartRoot n EndRoot EndFraction
Option C
D
x Overbar plus-or-minus StartFraction 2.58 times s Over StartRoot n EndRoot EndFraction
Option D
20

The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day.

Question illustration
A
Each point in the data set falls on the regression line.
B
The regression model is an accurate representation of the distance for any number of hours hiked.
C
Each point in the data set is near the regression line.
D
The regression model is inaccurate, as it does not begin at (0, 0).

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